Research Article
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An Approach Towards the Least-Squares Method for Simple Linear Regression

Year 2022, Volume: 2 Issue: 2, 38 - 44, 23.09.2022
https://doi.org/10.54569/aair.1032607

Abstract

This study approaches the least-squares method for simple linear regression model. The least-squares line does not comply with the data when there are outliers that have deceptive effects on the results in the dataset. The study aims to develop a method for obtaining a line that complies more with the data when there are outliers in the dataset.

References

  • Miller I, Miller M. Mathematical Statistics, Prenttice-Hall, Inc, 1999 (Çev. Ümit Şenesen John E. Freund’dan Matematiksel İstatistik, Literatür Yayıncılık. 2007).
  • Arslan İ. Python ile Veri Bilimi, Pusula Yayıncılık, Türkiye, 2020.
  • Rousseeuw PJ, Leroy AM. Robust regression and outlier detection. John Wiley & Sons, 1987.
  • Attaway S. Matlab A Practical Introduction to Programming and Problem Solving. 5th ed. Cambridge, USA, Butterwoth-Heinmann, 2019.
  • Kubat C. Matlab Yapay Zeka ve Mühendislik Uygulamaları. 5. Baskı, İstanbul, Türkiye, Abaküs Kitap Yayın, 2021.
  • Güneş A, Yıldız K. Matlab Matematik ve Grafik Programlama Dili. İstanbul, Türkiye, Türkmen Kitabevi, 1997.
  • Verardi V, Croux C. “Robust regression in Stata”. The Stata Journal, 9(3), 439-453, 2009.
  • Andersen R. Modern methods for robust regression (No. 152). Sage, 2008.
Year 2022, Volume: 2 Issue: 2, 38 - 44, 23.09.2022
https://doi.org/10.54569/aair.1032607

Abstract

References

  • Miller I, Miller M. Mathematical Statistics, Prenttice-Hall, Inc, 1999 (Çev. Ümit Şenesen John E. Freund’dan Matematiksel İstatistik, Literatür Yayıncılık. 2007).
  • Arslan İ. Python ile Veri Bilimi, Pusula Yayıncılık, Türkiye, 2020.
  • Rousseeuw PJ, Leroy AM. Robust regression and outlier detection. John Wiley & Sons, 1987.
  • Attaway S. Matlab A Practical Introduction to Programming and Problem Solving. 5th ed. Cambridge, USA, Butterwoth-Heinmann, 2019.
  • Kubat C. Matlab Yapay Zeka ve Mühendislik Uygulamaları. 5. Baskı, İstanbul, Türkiye, Abaküs Kitap Yayın, 2021.
  • Güneş A, Yıldız K. Matlab Matematik ve Grafik Programlama Dili. İstanbul, Türkiye, Türkmen Kitabevi, 1997.
  • Verardi V, Croux C. “Robust regression in Stata”. The Stata Journal, 9(3), 439-453, 2009.
  • Andersen R. Modern methods for robust regression (No. 152). Sage, 2008.
There are 8 citations in total.

Details

Primary Language English
Subjects Artificial Intelligence, Mathematical Sciences
Journal Section Research Articles
Authors

Hasan Halit Tali 0000-0002-1704-3694

Ceren Çelti This is me 0000-0002-1695-6125

Early Pub Date September 16, 2022
Publication Date September 23, 2022
Acceptance Date July 1, 2022
Published in Issue Year 2022 Volume: 2 Issue: 2

Cite

IEEE H. H. Tali and C. Çelti, “An Approach Towards the Least-Squares Method for Simple Linear Regression”, Adv. Artif. Intell. Res., vol. 2, no. 2, pp. 38–44, 2022, doi: 10.54569/aair.1032607.

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